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Finding the Fourth Proportional to 4,657.41, 6,428.22 and 2,954.82

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Solution

The fourth proportional to 4,657.41, 6,428.22 and 2,954.82 is: 4,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.41 : 6,428.22 = 2,954.82 : x
  2. Step 2: Convert to fraction form
    4,657.41/6,428.22 = 2,954.82/x
  3. Step 3: Cross multiply
    4,657.41x = 6,428.22 × 2,954.82
  4. Step 4: Simplify right side
    4,657.41x = 18,994,233.02
  5. Step 5: Solve for x
    x = 18,994,233.02/4,657.41
  6. Step 6: Final answer
    x = 4,078.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.